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An Analysis of the Density and Patterns of the Solutions of Diophantine Equations of the Third Power

Grewal et al. | Oct 05, 2020

An Analysis of the Density and Patterns of the Solutions of Diophantine Equations of the Third Power

In this study, the authors sought to find out how many mathematical solutions there were to the Indian mathematician Ramanujan's formula, which is a3 + b3 + c3 = d3, and also quantify the densities its solutions. They wrote their own computer program to do so and kept values of a, b, and c less than 10,000. While conducting the analysis, they were also looking for perfect power taxicab numbers and their frequency. They were able to find solutions and densities for the equation. Additionally, while they found that most perfect cube taxicab numbers had a frequency of 2 or 3, they also found on number with a frequency of 42!

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In vitro Comparison of Anticancer and Immunomodulatory Activities of Resveratrol and its Oligomers

Zhang et al. | Sep 02, 2020

<em>In vitro</em> Comparison of Anticancer and Immunomodulatory Activities of Resveratrol and its Oligomers

Resveratrol is a type of stillbenoid, a phenolic compound produced in plants, that is known for its anti-inflammatory and anticancer effects. Many oligomers of resveratrol have recently been isolated their bioactivities remain unknown. Here, authors compared the bioactivities of resveratrol with natural dimers (ε-viniferin and gnetin H) and trimers (suffruticosol B and C). Results provide preliminary evidence that resveratrol oligomers could be potential preventive or therapeutic agents for cancers and other immune-related diseases

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The Effect of Cooking Method on the Amount of Fat in an Egg

Srinivasan et al. | Dec 01, 2014

The Effect of Cooking Method on the Amount of Fat in an Egg

Fat can be chemically altered during cooking through a process called lipid oxidation, which can have a negative impact on health. In this study, the authors measured the extracted fat in raw, fried and hard-boiled eggs and found that cooking eggs to a higher temperature resulted in a lower amount of extracted fat, indicating a greater amount of oxidized fat.

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Testing the Effects of Salep Derived From the Tubers of Orchis mascula, Aloe vera, and Alpha-chymotrypsin on Wound Healing in Drosophila melanogaster Larvae

Halder et al. | Sep 09, 2019

Testing the Effects of Salep Derived From the Tubers of <em>Orchis mascula</em>, <em>Aloe vera</em>, and Alpha-chymotrypsin on Wound Healing in <em>Drosophila melanogaster</em> Larvae

Aloe vera and alpha-chymotrypsin have been used in are known for their various wound healing properties. Halder et al hypothesized that these treatments would enhance wound healing in Drosophila melanogaster larvae over 2 weeks by decreasing wound size more effectively compared to controls. The results of two of the treatment groups, Salep and Aloe vera, yielded wound sizes small enough to present a significant percent decrease when compared with the wound sizes of the control group. Their results show support that both Salep and Aloe vera were effective for enhancing wound healing in epithelial cells in D. melanogaster larvae.

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